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Serhud [2]
3 years ago
8

∆ABC rotates around point D to create ∆A′B′C′.

Mathematics
1 answer:
tekilochka [14]3 years ago
8 0
Given that <span>∆ABC rotates around point D to create ∆A′B′C′.
</span> 
<span>Line BC is a horizontal line such that the length of BC is 2 units. Also line AB is a vertical line such that the length of AB is 3 units.

Based on the position of B'C', shown in the figure, the coordinates of A′ are will be vertical to the cordinate of B' going downwards with a length of 3 units. This means that the x-value of the coordinate of A' is the same as that of B' but the y-value of the coordinate of A' is 3 units less than that of B'.

The coordinate of B' is (4, 4).
Therefore, the coordinate of A' is (4, 4 - 3) = (4, 1).</span>
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Two events, A and B, are disjoint. What is the probability that both A and B will occur at the same time?
solniwko [45]
ANSWER

P(A\cap B)=0

EXPLANATION

If the two events are disjoint, then they are mutually exclusive.

This means that their intersection is zero.

Therefore

n(A\cap B)=0

This implies that,

P(A\cap B)= \frac{n(A\cap B)}{n(U)}

P(A\cap B)= \frac{0}{n(U)} = 0

The probability that the two events will occur together is 0, which means an impossibility.
6 0
3 years ago
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x=−3

6 0
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